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Finding the Fourth Proportional to 10,515.38, 14,506.16 and 6,541.16

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Solution

The fourth proportional to 10,515.38, 14,506.16 and 6,541.16 is: 9,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.38 : 14,506.16 = 6,541.16 : x
  2. Step 2: Convert to fraction form
    10,515.38/14,506.16 = 6,541.16/x
  3. Step 3: Cross multiply
    10,515.38x = 14,506.16 × 6,541.16
  4. Step 4: Simplify right side
    10,515.38x = 94,887,113.55
  5. Step 5: Solve for x
    x = 94,887,113.55/10,515.38
  6. Step 6: Final answer
    x = 9,023.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.